Exploring Adding and Subtracting Rational Expressions

What is the solution to a system of linear inequalities?

• A single point where the lines intersect

• The set of ordered pairs that satisfy all the inequalities

• The area above the first line

• The area below the second line

What is the first step in solving a system of linear inequalities by graphing?

• Solve for x

• Find the intersection points

• Graph and shade each linear inequality

• Check the solution by substitution

When graphing the inequality y ≤ 3/4x - 4, what type of line should be used?

• No line

• Dashed line

• Solid line

• Dotted line

In the inequality y > -7, what type of line and shading should be used?

• Dashed line, shade below

• Solid line, shade below

• Solid line, shade above

• Dashed line, shade above

What is the solution region for the system of inequalities y ≤ 3/4x - 4 and y > -7?

• Above the first line and below the second line

• Above both lines

• Below both lines

• Below the first line and above the second line

What should you do if neither inequality in a system is in standard form?

• Solve each inequality for x first

• Solve each inequality for y first

• Graph them as they are

• Ignore the inequalities

When solving the inequality 4x - 5y > -5, what is the first step?

• Divide by -5

• Add 4x to both sides

• Multiply by 5

• Subtract 4x from both sides

In the practice problem, what is the solution set for the inequalities y < x - 1 and y > -1/4x + 5?

• The top right corner

• The top left corner

• The bottom right corner

• The bottom left corner

In the word problem, what does x represent?

• Total dollars earned

• Small bags of popcorn

• Total bags of popcorn

• Large bags of popcorn

What is the inequality representing the total number of bags sold in the word problem?

• 4x + 6y ≥ 300

• 4x + 6y ≤ 300

• x + y ≥ 60

• x + y ≤ 60